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Finding the Fourth Proportional to 2,921.62, 4,381.68 and 841.63

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Solution

The fourth proportional to 2,921.62, 4,381.68 and 841.63 is: 1,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.62 : 4,381.68 = 841.63 : x
  2. Step 2: Convert to fraction form
    2,921.62/4,381.68 = 841.63/x
  3. Step 3: Cross multiply
    2,921.62x = 4,381.68 × 841.63
  4. Step 4: Simplify right side
    2,921.62x = 3,687,753.34
  5. Step 5: Solve for x
    x = 3,687,753.34/2,921.62
  6. Step 6: Final answer
    x = 1,262.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.